Prism — Grade 7 Accelerated, what it means and where it is taught
A solid with two identical parallel bases joined by rectangles.
Taught in Grade 7 Accelerated.
Where it is taught
Practise this idea
6 questions in the course bank use Prism, in Volume & Surface Area of 3-D Figures, Solids: Volume, Sections & Rotations, Surface Area & Nets.
Problem 1
A prism has base area 12 cm2 and height 10 cm. Find its volume.
Worked answer
120
12 × 10 = 120 cm3
Problem 2
A triangular prism has a base triangle with base 6 cm and height 4 cm, and the prism is 10 cm long. Find its volume.
Worked answer
120
B = 12(6)(4) = 12 cm2
V = 12 × 10 = 120 cm3
Problem 3
A prism's base is a trapezoid with parallel sides 5 and 9 and height 4. The prism is 10 long. Find its volume.
Worked answer
280
B = 5 + 92 × 4 = 28
V = 28 × 10 = 280
Problem 4
A prism has base area 24 and height 15. Find its volume.
Worked answer
360
24 × 15 = 360
Problem 5
A triangular prism has two triangular ends of area 6 each and three rectangles of areas 20, 15 and 25. Find the surface area.
Worked answer
72
12 + 60 = 72
Problem 6
A prism has an end of area 14 and length 9, with the wrapping area 9 times the perimeter 18. Find the total surface area.
Worked answer
190
2(14) = 28
18 × 9 = 162
28+162 = 190